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Harry spent 1/6 of his money on appliances. He then spent 2/3 on renovations at his home. He remained with $3600. How much money did Harry have at first?​

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Answer:

Harry had $12,960 at first

Explanation:

To find out how much money Harry had at first, we need to work backward from the amount he has left after spending on appliances and renovations.

Let's start by calculating the amount Harry had after spending on appliances. We know that he spent 1/6 of his money on appliances, so the remaining amount would be 5/6 of his original money.

Next, we need to calculate the amount Harry had after spending on renovations. We know that he spent 2/3 of his money on renovations, so the remaining amount would be 1/3 of the amount he had after spending on appliances.

Finally, we know that Harry has $3600 left. So, we can set up an equation to solve for the original amount of money Harry had:

(1/3) * (5/6) * x = $3600

To solve this equation, we can multiply the fractions and then divide both sides by the resulting fraction:

(1/3) * (5/6) * x = $3600

(5/18) * x = $3600

x = $3600 * (18/5)

x = $12,960

Therefore, Harry had $12,960 at first.

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